212100011112000 has 448 divisors, whose sum is σ = 765680559291648. Its totient is φ = 51306618880000.

The previous prime is 212100011111981. The next prime is 212100011112037. The reversal of 212100011112000 is 211110001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120832624 + ... + 122575376.

It is an arithmetic number, because the mean of its divisors is an integer number (1709108391276).

Almost surely, 2^{212100011112000} is an apocalyptic number.

212100011112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382840279645824).

212100011112000 is an abundant number, since it is smaller than the sum of its proper divisors (553580548179648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212100011112000 is a wasteful number, since it uses less digits than its factorization.

212100011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743255 (or 1743235 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212100011112000 its reverse (211110001212), we get a palindrome (212311121113212).

The spelling of 212100011112000 in words is "two hundred twelve trillion, one hundred billion, eleven million, one hundred twelve thousand".